1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
9

For the month of January in a certain​ city, 42​% of the days are cloudy. Also in the month of January in the same​ city, 41​% o

f the days are cloudy and rainy. What is the probability that a randomly selected day in January will be rainy if it is cloudy​?
Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer: 0.9762

Step-by-step explanation:

Let A be the event that days are cloudy and B be the event that days are rainy for January month .

Given : The probability that the days are cloudy = P(A)=0.42

The probability that the days are cloudy and rainy = P(A\cap B)=0.41

Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-

P(B|A)=\dfrac{P(B\cap A)}{P(A)}\\\\\Rightarrow\ P(B|A)=\dfrac{0.41}{0.42}=0.97619047619\approx0.9762

Hence, the probability that a randomly selected day in January will be rainy if it is cloudy  = 0.9762

You might be interested in
What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.
Assoli18 [71]

The mean of the data set is 6.8.

<h3>What is the mean?</h3>

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

brainly.com/question/4209766

3 0
2 years ago
What are the solutions of this system of equations?
SpyIntel [72]

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2-x-3     eq(1)

y = -3x + 5      eq(2)

We can solve by substituting the value of y in eq(2) in the eq(1)

-3x+5 = x^2-x-3

x^2-x+3x-3-5=0

x^2+2x-8=0

Now factorizing the above equation

x^2+4x-2x-8=0

x(x+4)-2(x+4)=0

(x-2)(x+4)=0

(x-2)=0 and (x+4)=0

x=2 and x=-4

Now finding the value of y by placing value of x in the above eq(2)

put x =2

y = -3x + 5

y = -3(2) + 5

y = -6+5

y = -1

Now, put x = -4

y = -3x + 5

y = -3(-4) + 5

y = 12+5

y =17

so, when x=2, y =-1 and x=-4 y=17

(2,-1) and (-4,17) is the solution.

So, Option C is correct.

7 0
3 years ago
Read 2 more answers
A recursive rule for an arithmetic sequence is a1=4;an=an−1+3 . What is an explicit rule for this sequence? Enter your answer in
avanturin [10]

Answer:

an=3n+1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3/7+-5/11+-5/14+3/11​
Pachacha [2.7K]

Answer:

Hey!

Your answer is 1\frac{5}{8}!

Step-by-step explanation:

Also can be written as 41/8!

HOPE THIS HELPED!

3 0
3 years ago
Read 2 more answers
Based on the following set of data, which of the statements shown is true?
jarptica [38.1K]

C.) mean > median

Hope this helps chu

8 0
3 years ago
Other questions:
  • Need help if you can, help please help
    13·2 answers
  • Whet is 1000% of 100%
    6·1 answer
  • I need help in this problem.
    5·2 answers
  • FIND VALUE OF SLOPE PLEASE
    8·1 answer
  • Maria makes a fruit salad.
    14·1 answer
  • Plz help
    7·1 answer
  • The table represents a sample of ages and people and their shoes size.
    13·2 answers
  • &gt;<br> How many 3 card hands are possible with a 48-card deck?<br> The number of 3 card hands is a
    14·1 answer
  • What is 7.2 times 10 with the exponent of 5
    14·1 answer
  • Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!